Home / 1,161.50-1,742.92-431.58

Finding the Fourth Proportional to 1,161.50, 1,742.92 and 431.58

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Solution

The fourth proportional to 1,161.50, 1,742.92 and 431.58 is: 647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.50 : 1,742.92 = 431.58 : x
  2. Step 2: Convert to fraction form
    1,161.50/1,742.92 = 431.58/x
  3. Step 3: Cross multiply
    1,161.50x = 1,742.92 × 431.58
  4. Step 4: Simplify right side
    1,161.50x = 752,209.41
  5. Step 5: Solve for x
    x = 752,209.41/1,161.50
  6. Step 6: Final answer
    x = 647.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.